You might want to start by giving this place a call -

http://www.beachgrovemotel.com/products.html

Map: https://goo.gl/maps/Vji1n

It's not the Waldorf, but it's near(ish) where you need to be, and they offer monthly rates.

If nothing else, you could stay there for a week or two while you get settled and get your bearings.

Enjoy flight school - I'm jealous!